We consider the 2D super Liouville gravity coupled to the minimal superconformal theory. We analyze the physical states in the theory and give the general form of the n-point correlation numbers on the sphere in terms of integrals over the moduli space. The threepoint correlation numbers are presented explicitly. For the four-point correlators, we show that the integral over the moduli space re...

x = niabcfghpqr, y = nigh(af) 2 p*, z = mca(bg) 2 q s , w = tnbf{ch) 2 r z , where the parameters m, • • • , r may be restricted by the G.CD. conditions 1 = (o,f) = (b,g) = (c,h), 1 = (afp, bcqr) = (bgq, hfrp) = (chr, agpq). The most immediate application of this is to the solution of # 3 +/(:y> £> «0 = 0> where ƒ (y, z, w) is any ternary cubic factorable into 3 linear, homogeneous factors whos...

Metric indexing research is concerned with the efficient evaluation of queries in metric spaces. In general, a large space of objects is arranged in such a way that, when a further object is presented as a query, those objects most similar to the query can be efficiently found. Most such mechanisms rely upon the triangle inequality property of the metric governing the space. The triangle inequa...

andApplied Analysis Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNAppliedMathematics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013International Journal ofCombinatorics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Jou...

An analytical expression for the voltage measured by a four-point alternating current potential drop (ACPD) method on a flat metal surface is derived. Far-field expressions for the electric field in a metal plate and in the region of the probe (air) are used to obtain contributions to the ACPD voltage from the metal plate and due to inductance in the pick-up circuit. The far-field approximation...

Previous studies have suggested that focusing an element can enhance the activation of the focused element and bring about a number of processing benefits. However, whether and how this local prominence of information interacts with global discourse organization remains unclear. In the present study, we addressed this issue in two experiments. Readers were presented with four-sentence discourse...

In the current project a rotating dual sensor probe has been designed and fabricated. A set of measurements were performed using the rotating dual sensor. Analysis on the results occurred, and it showed that the rotating dual sensor with the supporting algorithm has an acceptable, reliable and repeatable performance for measurements in multiphase flows.

Four-probe impedance spectra of polycrystalline cation conductors: NASICON, Na b0-alumina and Ag b0-alumina, were measured in the frequency range from 10 Hz to 100 kHz with the aid of high sensitivity, high input impedance preamplifiers. Dispersion associated with the grain boundary polarization was observed below room temperature. The frequency dependent part of the conductivity of grain inter...